-- | Indicate that something contains only a `Single` part of something.
module NewtypeZoo.Single
  ( Single(Single)
  , _theSingle
  , theSingle
  ) where

import           Control.DeepSeq (NFData)
import           Control.Monad.Fix (MonadFix)
import           Control.Monad.Zip (MonadZip)
import           Data.Bits       (Bits,FiniteBits)
import           Data.Copointed  (Copointed)
import           Data.Default    (Default)
import           Data.Functor.Classes (Eq1, Ord1, Read1, Show1)
import           Data.Functor.Identity
import           Data.Ix         (Ix)
import           Data.Profunctor (Profunctor, dimap)
import           Data.Pointed    (Pointed)
import           Data.String     (IsString)
import           Data.Typeable   (Typeable)
import           Foreign.Storable (Storable)
import           GHC.Generics    (Generic, Generic1)
import           System.Random   (Random)
import           Test.QuickCheck (Arbitrary)

newtype Single a = Single a
  deriving ( Single a -> Single a -> Bool
(Single a -> Single a -> Bool)
-> (Single a -> Single a -> Bool) -> Eq (Single a)
forall a. Eq a => Single a -> Single a -> Bool
forall a. (a -> a -> Bool) -> (a -> a -> Bool) -> Eq a
/= :: Single a -> Single a -> Bool
$c/= :: forall a. Eq a => Single a -> Single a -> Bool
== :: Single a -> Single a -> Bool
$c== :: forall a. Eq a => Single a -> Single a -> Bool
Eq
           , Eq (Single a)
Eq (Single a)
-> (Single a -> Single a -> Ordering)
-> (Single a -> Single a -> Bool)
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-> (Single a -> Single a -> Bool)
-> (Single a -> Single a -> Bool)
-> (Single a -> Single a -> Single a)
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-> Ord (Single a)
Single a -> Single a -> Bool
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forall a.
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forall a. Ord a => Eq (Single a)
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forall a. Ord a => Single a -> Single a -> Ordering
forall a. Ord a => Single a -> Single a -> Single a
min :: Single a -> Single a -> Single a
$cmin :: forall a. Ord a => Single a -> Single a -> Single a
max :: Single a -> Single a -> Single a
$cmax :: forall a. Ord a => Single a -> Single a -> Single a
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> :: Single a -> Single a -> Bool
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<= :: Single a -> Single a -> Bool
$c<= :: forall a. Ord a => Single a -> Single a -> Bool
< :: Single a -> Single a -> Bool
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compare :: Single a -> Single a -> Ordering
$ccompare :: forall a. Ord a => Single a -> Single a -> Ordering
$cp1Ord :: forall a. Ord a => Eq (Single a)
Ord
           , ReadPrec [Single a]
ReadPrec (Single a)
Int -> ReadS (Single a)
ReadS [Single a]
(Int -> ReadS (Single a))
-> ReadS [Single a]
-> ReadPrec (Single a)
-> ReadPrec [Single a]
-> Read (Single a)
forall a. Read a => ReadPrec [Single a]
forall a. Read a => ReadPrec (Single a)
forall a. Read a => Int -> ReadS (Single a)
forall a. Read a => ReadS [Single a]
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readListPrec :: ReadPrec [Single a]
$creadListPrec :: forall a. Read a => ReadPrec [Single a]
readPrec :: ReadPrec (Single a)
$creadPrec :: forall a. Read a => ReadPrec (Single a)
readList :: ReadS [Single a]
$creadList :: forall a. Read a => ReadS [Single a]
readsPrec :: Int -> ReadS (Single a)
$creadsPrec :: forall a. Read a => Int -> ReadS (Single a)
Read
           , Int -> Single a -> ShowS
[Single a] -> ShowS
Single a -> String
(Int -> Single a -> ShowS)
-> (Single a -> String) -> ([Single a] -> ShowS) -> Show (Single a)
forall a. Show a => Int -> Single a -> ShowS
forall a. Show a => [Single a] -> ShowS
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$cshowList :: forall a. Show a => [Single a] -> ShowS
show :: Single a -> String
$cshow :: forall a. Show a => Single a -> String
showsPrec :: Int -> Single a -> ShowS
$cshowsPrec :: forall a. Show a => Int -> Single a -> ShowS
Show
           , Single a -> ()
(Single a -> ()) -> NFData (Single a)
forall a. NFData a => Single a -> ()
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rnf :: Single a -> ()
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(a -> m) -> Single a -> m
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product :: Single a -> a
$cproduct :: forall a. Num a => Single a -> a
sum :: Single a -> a
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minimum :: Single a -> a
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maximum :: Single a -> a
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elem :: a -> Single a -> Bool
$celem :: forall a. Eq a => a -> Single a -> Bool
length :: Single a -> Int
$clength :: forall a. Single a -> Int
null :: Single a -> Bool
$cnull :: forall a. Single a -> Bool
toList :: Single a -> [a]
$ctoList :: forall a. Single a -> [a]
foldl1 :: (a -> a -> a) -> Single a -> a
$cfoldl1 :: forall a. (a -> a -> a) -> Single a -> a
foldr1 :: (a -> a -> a) -> Single a -> a
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foldl' :: (b -> a -> b) -> b -> Single a -> b
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foldl :: (b -> a -> b) -> b -> Single a -> b
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foldr' :: (a -> b -> b) -> b -> Single a -> b
$cfoldr' :: forall a b. (a -> b -> b) -> b -> Single a -> b
foldr :: (a -> b -> b) -> b -> Single a -> b
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foldMap' :: (a -> m) -> Single a -> m
$cfoldMap' :: forall m a. Monoid m => (a -> m) -> Single a -> m
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fold :: Single m -> m
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sequence :: Single (m a) -> m (Single a)
$csequence :: forall (m :: * -> *) a. Monad m => Single (m a) -> m (Single a)
mapM :: (a -> m b) -> Single a -> m (Single b)
$cmapM :: forall (m :: * -> *) a b.
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sequenceA :: Single (f a) -> f (Single a)
$csequenceA :: forall (f :: * -> *) a.
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traverse :: (a -> f b) -> Single a -> f (Single b)
$ctraverse :: forall (f :: * -> *) a b.
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$cp2Traversable :: Foldable Single
$cp1Traversable :: Functor Single
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           , a -> Single b -> Single a
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fmap :: (a -> b) -> Single a -> Single b
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forall a. a -> Default a
forall a. Default a => Single a
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forall a. Monoid a => Single a
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forall a. Monoid a => Single a -> Single a -> Single a
mconcat :: [Single a] -> Single a
$cmconcat :: forall a. Monoid a => [Single a] -> Single a
mappend :: Single a -> Single a -> Single a
$cmappend :: forall a. Monoid a => Single a -> Single a -> Single a
mempty :: Single a
$cmempty :: forall a. Monoid a => Single a
$cp1Monoid :: forall a. Monoid a => Semigroup (Single a)
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           , b -> Single a -> Single a
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-> Semigroup (Single a)
forall b. Integral b => b -> Single a -> Single a
forall a. Semigroup a => NonEmpty (Single a) -> Single a
forall a. Semigroup a => Single a -> Single a -> Single a
forall a b. (Semigroup a, Integral b) => b -> Single a -> Single a
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stimes :: b -> Single a -> Single a
$cstimes :: forall a b. (Semigroup a, Integral b) => b -> Single a -> Single a
sconcat :: NonEmpty (Single a) -> Single a
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<> :: Single a -> Single a -> Single a
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           , Typeable
           , (forall x. Single a -> Rep (Single a) x)
-> (forall x. Rep (Single a) x -> Single a) -> Generic (Single a)
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           , (forall a. Single a -> Rep1 Single a)
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           , g -> (Single a, g)
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 RandomGen g =>
 (Single a, Single a) -> g -> (Single a, g))
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randoms :: g -> [Single a]
$crandoms :: forall a g. (Random a, RandomGen g) => g -> [Single a]
randomRs :: (Single a, Single a) -> g -> [Single a]
$crandomRs :: forall a g.
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(Single a, Single a) -> g -> [Single a]
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randomR :: (Single a, Single a) -> g -> (Single a, g)
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(Single a, Single a) -> g -> (Single a, g)
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           , Gen (Single a)
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shrink :: Single a -> [Single a]
$cshrink :: forall a. Arbitrary a => Single a -> [Single a]
arbitrary :: Gen (Single a)
$carbitrary :: forall a. Arbitrary a => Gen (Single a)
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           , Single a
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forall a. a -> a -> Bounded a
forall a. Bounded a => Single a
maxBound :: Single a
$cmaxBound :: forall a. Bounded a => Single a
minBound :: Single a
$cminBound :: forall a. Bounded a => Single a
Bounded
           , Int -> Single a
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enumFromThenTo :: Single a -> Single a -> Single a -> [Single a]
$cenumFromThenTo :: forall a. Enum a => Single a -> Single a -> Single a -> [Single a]
enumFromTo :: Single a -> Single a -> [Single a]
$cenumFromTo :: forall a. Enum a => Single a -> Single a -> [Single a]
enumFromThen :: Single a -> Single a -> [Single a]
$cenumFromThen :: forall a. Enum a => Single a -> Single a -> [Single a]
enumFrom :: Single a -> [Single a]
$cenumFrom :: forall a. Enum a => Single a -> [Single a]
fromEnum :: Single a -> Int
$cfromEnum :: forall a. Enum a => Single a -> Int
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pred :: Single a -> Single a
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succ :: Single a -> Single a
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log1mexp :: Single a -> Single a
$clog1mexp :: forall a. Floating a => Single a -> Single a
log1pexp :: Single a -> Single a
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expm1 :: Single a -> Single a
$cexpm1 :: forall a. Floating a => Single a -> Single a
log1p :: Single a -> Single a
$clog1p :: forall a. Floating a => Single a -> Single a
atanh :: Single a -> Single a
$catanh :: forall a. Floating a => Single a -> Single a
acosh :: Single a -> Single a
$cacosh :: forall a. Floating a => Single a -> Single a
asinh :: Single a -> Single a
$casinh :: forall a. Floating a => Single a -> Single a
tanh :: Single a -> Single a
$ctanh :: forall a. Floating a => Single a -> Single a
cosh :: Single a -> Single a
$ccosh :: forall a. Floating a => Single a -> Single a
sinh :: Single a -> Single a
$csinh :: forall a. Floating a => Single a -> Single a
atan :: Single a -> Single a
$catan :: forall a. Floating a => Single a -> Single a
acos :: Single a -> Single a
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asin :: Single a -> Single a
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tan :: Single a -> Single a
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cos :: Single a -> Single a
$ccos :: forall a. Floating a => Single a -> Single a
sin :: Single a -> Single a
$csin :: forall a. Floating a => Single a -> Single a
logBase :: Single a -> Single a -> Single a
$clogBase :: forall a. Floating a => Single a -> Single a -> Single a
** :: Single a -> Single a -> Single a
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sqrt :: Single a -> Single a
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log :: Single a -> Single a
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exp :: Single a -> Single a
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pi :: Single a
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mzip :: Single a -> Single b -> Single (a, b)
$cmzip :: forall a b. Single a -> Single b -> Single (a, b)
$cp1MonadZip :: Monad Single
MonadZip

           )
           via Identity

_theSingle :: Single x -> x
_theSingle :: Single x -> x
_theSingle (Single !x
x) = x
x
{-# INLINE _theSingle #-}

theSingle :: forall a b p f. (Profunctor p, Functor f) => p a (f b) -> p (Single a) (f (Single b))
theSingle :: p a (f b) -> p (Single a) (f (Single b))
theSingle = (Single a -> a)
-> (f b -> f (Single b))
-> p a (f b)
-> p (Single a) (f (Single b))
forall (p :: * -> * -> *) a b c d.
Profunctor p =>
(a -> b) -> (c -> d) -> p b c -> p a d
dimap Single a -> a
forall a. Single a -> a
_theSingle ((b -> Single b) -> f b -> f (Single b)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap b -> Single b
forall a. a -> Single a
Single)
{-# INLINE theSingle #-}